1. A professor grades students on four tests, a term paper, and a final examination. Each test counts as 15% of the course grade. The term paper counts as 20% of the course grade. The final examination counts as 20% of the course grade. Alan has test scores of

80, 76, 82, and 92.

Alan received an 86 on his term paper. His final examination score was 88. Use the weighted mean formula to find Alan's average for the course. (Round your answer to one decimal place.)

2 .A survey of 10 fast-food restaurants noted the number of calories in a mid-sized hamburger. The results are given in the table below.

514

506

503

498

496

506

457

477

464

514

Find the mean and sample standard deviation of these data. Round to the nearest hundredth.

mean

sample standard deviation

3. A couple plans to save for their child's college education. What principal must be deposited by the parents when their child is born in order to have $45,000 when the child reaches the age of 18? Assume the money earns 7% interest, compounded quarterly. (Round your answer to two decimal places.)